If the ammeter in the given circuit reads 2 A,the resistance R is

If the ammeter in the given circuit reads 2 A,the resistance R is

1. A

$1\text{\hspace{0.17em}\hspace{0.17em}}\Omega$

2. B

$2\text{\hspace{0.17em}\hspace{0.17em}}\Omega$

3. C

$3\text{\hspace{0.17em}\hspace{0.17em}}\Omega$

4. D

$4\text{\hspace{0.17em}\hspace{0.17em}}\Omega$

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Solution:

$\mathrm{i}=\frac{\mathrm{V}}{\mathrm{R}}⇒\text{\hspace{0.17em}}2=\frac{6}{\frac{6\text{\hspace{0.17em}}×\text{\hspace{0.17em}}3}{6\text{\hspace{0.17em}}+\text{\hspace{0.17em}}3}}\text{\hspace{0.17em}}=\text{\hspace{0.17em}}\frac{6}{2+\mathrm{R}}⇒\mathrm{R}=1\text{\hspace{0.17em}\hspace{0.17em}}\mathrm{\Omega }$

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